document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=838702>Question 838702</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that a sequence is arithmetic <BR>\n" );
document.write( "Q: The sum of the first n terms of a progression is given by Sn=n(3n&#8722;4). show that the progression is an arithmetic progression </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #505337 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=505337\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large S_{n+1} - S_n = (n+1)(3n - 1) - n(3n-4)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\large = 6n-1 = a_{n+1}\">, for all n\r<BR>\n" );
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document.write( "Therefore the sequence is arithmetic. </SPAN>\n" );
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